Gravitational bending of light by planetary multipoles and its measurement with microarcsecond astronomical interferometers

Abstract

General relativistic deflection of light by mass, dipole, and quadrupole moments of gravitational field of a moving massive planet in the Solar system is derived. All terms of order 1 microarcsecond are taken into account, parametrized, and classified in accordance with their physical origin. We calculate the instantaneous patterns of the light-ray deflections caused by the monopole, the dipole and the quadrupole moments, and derive equations describing apparent motion of the deflected position of the star in the sky plane as the impact parameter of the light ray with respect to the planet changes due to its orbital motion. The present paper gives the physical interpretation of the observed light-ray deflections and discusses the observational capabilities of the near-future optical (SIM) and radio (SKA) interferometers for detecting the Doppler modulation of the radial deflection, and the dipolar and quadrupolar light-ray bendings by the Jupiter and the Saturn.

33 pages, 10 figures, accepted to Phys. Rev. D

References in corpus (9)

• The Confrontation between General Relativity and Experiment
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Deflection of light and particles by moving gravitational lenses
• A general relativistic model for the light propagation in the gravitational field of the Solar System: the dynamical case
• The Speed of Gravity in General Relativity and Theoretical Interpretation of the Jovian Deflection Experiment
• Aberration and the Fundamental Speed of Gravity in the Jovian Deflection Experiment
• The Post-Newtonian Treatment of the VLBI Experiment on September 8, 2002
• Relativistic Reference Frames for Astrometry and Navigation in the Solar System
• On the Speed of Gravity and Relativistic v/c Corrections to the Shapiro Time Delay

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